Intro to Conservation of Energy Video Lessons

Concept

# Problem: A car is parked at the top of a 52m-high hill. It slips out of gear and rolls down the hill. How fast will it be going at the bottom? (Ignore friction.)

###### FREE Expert Solution

In this problem, we are required to apply conservation of energy. We'll need the conservation of energy equation.

Law of conservation of energy:

$\overline{){{\mathbf{K}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{i}}}{\mathbf{+}}{{\mathbf{W}}}_{{\mathbf{nc}}}{\mathbf{=}}{{\mathbf{K}}}_{{\mathbf{f}}}{\mathbf{+}}{{\mathbf{U}}}_{{\mathbf{f}}}}$, where Wnc is the work done by non-conservative forces such as friction.

###### Problem Details

A car is parked at the top of a 52m-high hill. It slips out of gear and rolls down the hill. How fast will it be going at the bottom? (Ignore friction.)